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An efficient analysis of FitzHugh-Nagumo circuit model

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Abstract

FitzHugh-Nagumo, FHN, is a most critically significant Neural Cell method which is effectively capable of modeling the synaptic behavior by leveraging van-der-pol oscillators. The FitzHugh-Nagumo model makes use of common circuitry of FHNs, remarkably similar to the very conventional LC oscillators. Conventional LC oscillators, needless to say, have been largely deployed and comprehensively studied for quite some time. Notwithstanding its similarity to other LC oscillators, FitzHugh-Nagumo contains a resistor in series with the circuit that makes it inconsistent with other LC oscillator models. In this paper, a productive circuit technique is used to make FitzHugh-Nagumo circuit analogous to a LC conventional oscillator, which consequently provides the capability of using analytical approaches on these systems. This gives the designer of neural cells the opportunity of taking advantage of the vast knowledge about oscillatory systems. The proposed circuit model has been verified in terms of accuracy and compatibility for free-running, locked, and unlocked states. In addition, a theoretical analysis, aiming to clarify the background principle of the FitzHugh-Nagumo design process, is also provided. The simulation results which are performed using TSMC 180 nm CMOS technology represent a good agreement between theory and simulation.

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Data availability statement

The datasets generated during and/or analyzed during the current study are available from the corresponding author on reasonable request.

Change history

  • 18 March 2022

    The original online version of this article was revised: The university name in the affiliation of the authors has been corrected from 'Tabriz University' to 'University of Tabriz'.

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Authors and Affiliations

  1. Department of Electrical Engineering, University of Tabriz, Tabriz, Iran

    Yosef Khakipoor, Hossein B. Bahar & Ghader Karimian

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  1. Yosef Khakipoor
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  2. Hossein B. Bahar
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  3. Ghader Karimian
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Correspondence to Yosef Khakipoor.

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Khakipoor, Y., Bahar, H.B. & Karimian, G. An efficient analysis of FitzHugh-Nagumo circuit model. Analog Integr Circ Sig Process 110, 385–393 (2022). https://doi.org/10.1007/s10470-021-01947-3

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  • DOI: https://doi.org/10.1007/s10470-021-01947-3

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